Least Common Multiple of 578/98, 821/8394

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 578/98, 821/8394 quickly i.e. 237269 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 578/98, 821/8394 is 237269.

LCM(578/98, 821/8394) = 237269

LCM of 578/98, 821/8394

Enter two or more fractions separated by "commas"

Ex: 2/3, 5/7 or 3/5, 5/9, 7/3

LCM of:

Least Common Multiple of 578/98,821/8394

Given numbers are 578/98,821/8394

Formula to find LCM of Fractions is

LCM = LCM of Numerators/GCF of Denominators

As per the formula LCM of Fractions let’s split into two parts and find the LCM of Numerators and GCF of Denominators

In the given fractions LCM of Numerators means LCM of 578,821

Least Common Multiple of Numerators i.e. LCM of 578,821 is 474538.

GCF of Denominators means GCF of 98,8394 as per the given fractions.

GCF of 98,8394 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 578,821

LCM of Fractions 578/98,821/8394 is 237269

Given numbers has no common factors except 1. So, there LCM is their product i.e 474538

Least Common Multiple of 578,821 with GCF Formula

Least Common Multiple of 578,821 with GCF Formula

The formula of LCM is LCM(a1,a2,a3....,an) = ( a1 × a2 × a3 × .... × an) / GCF(a1,a2,a3....,an) x common factors(if more than 2 numbers have common factors).

We need to calculate greatest common factor of 578,821 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(578,821) = 1

common factors(in case of two or more numbers have common factors) = 1

GCF(578,821) x common factors =1 x 1 = 1

LCM(578,821) = ( 578 × 821 ) / 1

LCM(578,821) = 474538 / 1

LCM(578,821) = 474538


Lets's calculate GCF of 98,8394

2 98, 8394
49, 4197

∴ So the GCF of the given numbers is 2 = 2

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 474538/2

Therefore the LCM of Fractions 578/98,821/8394 is 237269

Greatest Common Factor of 98,8394 By Matching Biggest Common Factor Method

Greatest Common Factor of 98,8394 By Matching Biggest Common Factor Method

Factors of 98

List of positive integer factors of 98 that divides 98 without a remainder.

1,2,7,14,49,98

Factors of 8394

List of positive integer factors of 8394 that divides 8394 without a remainder.

1,2,3,6,1399,2798,4197,8394

Greatest Common Factor

We found the factors 98,8394 . The biggest common factor number is the GCF number.
So the greatest common factor 98,8394 is 2.


LCM of Fractions Calculation Examples

Here are some samples of LCM of Fractions calculations.

LCM of Fractions Calculation Examples

Here are some samples of LCM of Fractions calculations.

Frequently Asked Questions on Fractional LCM of 578/98, 821/8394

1. How to find LCM in Fractions?

Answer: LCM of fractions can be found using the simple formula LCM of Fractions = LCM of Numerators/GCF of Denominators.

2. What is the LCM of Fractions for 578/98, 821/8394?

Answer: LCM of Numerators as per given numbers 578/98, 821/8394 is

LCM of Numerators i.e. for 578,821 is 474538

GCF of denominators i.e. for 98,8394 is 2.

Thus, LCM of Fractions is 237269.Finally, LCM of Fractions for 578/98, 821/8394 is 237269.